Salary Data Were Collected from CEOs in the Consumer Products $\text { HYPOTHESIS: MEAN X = MEAN Y }$

Multiple Choice

Salary data were collected from CEOs in the consumer products industry and CEOs in the telecommunication industry. The data were analyzed using a software package in order to compare mean salaries of CEOs in the two industries.

$\text { HYPOTHESIS: MEAN X = MEAN Y }$

$\text { SAMPLES SELECTED FROM SALARY }$

$\begin{array}{rc}&\text { \( X= \) Consumer Products}\\&\text { \( \mathrm{Y}= \) Telecommunications}\\\\\text { SAMPLE MEAN OF } X= & 1761 \\\text { SAMPLE VARIANCE OF X }= & 3.97555 \text { E } 6 \\\text { SAMPLE SIZE OF X }= & 21 \\\text { SAMPLE MEAN OF Y }= & 1093.5 \\\text { SAMPLE VARIANCE OF Y }= & 103255 \\\text { SAMPLE SIZE OF Y }= & 21\\\\\text { MEAN X - MEAN Y }= & 667.5 \\\text { test statistic }= & 1.47809 \\\text { D. F. }= & 40 \\\text { P-VALUE }= & 0.147626 \\\text { P-VALUE/2 }= & 0.0738131 \\\text { SD.ERROR }= & 451.597 \end{array}$

What of the following assumptions is necessary to perform the test described above?

A) The means of the two populations of salaries are equal.
B) The population of salaries for each of the two industries has an approximately normal distribution.
C) The standard deviations of the two populations of salaries are both large.
D) None. The Central Limit Theorem takes care of all assumptions